Cardioid ( X-coordinate)

Description

A cardioid is a plane curve traced by a point on the perimeter of a circle that is rolling around a fixed circle of the same radius. It is therefore a type of limaçon and can also be defined as an epicycloid having a single cusp. It is also a type of sinusoidal spiral, and an inverse curve of the parabola with the focus as the center of inversion. The fixed circle having the origin as its center, and both circles having radius a, the Cartesian coordinates of the cardioid is given by parametric trigonometrical equations.

Related formulas

Variables

xX-coordinate (m)
aRadius of the circle (m)
θThe angle of the rotation (or parameter) (radians)